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Finding the Fourth Proportional to 227,300.31, 313,808.82 and 202,080

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Solution

The fourth proportional to 227,300.31, 313,808.82 and 202,080 is: 278,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,300.31 : 313,808.82 = 202,080 : x
  2. Step 2: Convert to fraction form
    227,300.31/313,808.82 = 202,080/x
  3. Step 3: Cross multiply
    227,300.31x = 313,808.82 × 202,080
  4. Step 4: Simplify right side
    227,300.31x = 63,414,486,345.60
  5. Step 5: Solve for x
    x = 63,414,486,345.60/227,300.31
  6. Step 6: Final answer
    x = 278,989.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.